Joseph and Isabelle left Omyra’s house at the same time. Joseph jogged north at 8 kilometers per hour, while Isabelle rode her bike west at 12 kilometers per hour. Omyra tried to figure out how far apart they were after 1.5 hours. Her work is shown below. Which statements describe her errors? Check all that apply. A right triangle. The distance north from Omyra's House is 8 kilometers, and the distance west is 12 kilometers. 8 squared + 12 squared = d squared. 64 + 24 = d squared. 88 = d squared. StartRoot 88 EndRoot = d. 9.4 almost-equals d. She did not find the full distance each traveled in 1.5 hours. She should have used 12 km for Joseph’s distance and 18 km for Isabelle’s distance. She did not square the 12 in the problem. She should have used 12 squared = 144. She did not evaluate 8 squared correctly. She should have used 8 squared = 8 (2) = 16. She did not evaluate StartRoot 88 EndRoot correctly. She should have used StartRoot 88 EndRoot almost-equals 44. She should not have taken the square root of each side when solving. She should have just divided each side by 2. She should not have added the squares in the first step. She should have used 12 squared minus 8 squared = d squared.

Answers

Answer 1

1) She did not find the full distance each traveled in 1.5 hours.

2) She should have used 12 km for Joseph's distance and 18 km for Isabelle's distance.

What is the distance?

Distance is the sum of an object's movements, regardless of direction. The distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.

Here, we have

The distance is given:

d² = (12 * 1.5)² + (8 * 1.5)²

Rewriting we have:

d² = (18)² + (12)²

d² = 324 + 144

d² = 468

d = √(468)

d = 21.63 Km

Hence,

1) She did not find the full distance each traveled in 1.5 hours.

2) She should have used 12 km for Joseph's distance and 18 km for Isabelle's distance.

To learn more about the distance from the given link

https://brainly.com/question/10428039

#SPJ1


Related Questions

Use the tax table below to answer the following question.
A 9-column table with 7 rows is shown. Column 1 is labeled If the wages are at least with entries 720, 740, 760, 780, 800, 820, 840. Column 2 is labeled But less than with entries 740, 760, 780, 800, 820, 840, 860. Column 3 is labeled And the number of withholding allowances is 0, the amount of income tax withheld is, with entries 80, 83, 86, 89, 92, 95, 98. Column 4 is labeled And the number of withholding allowances is 1, the amount of income tax withheld is, with entries 62, 65, 68, 71, 74, 77, 80. Column 5 is labeled And the number of withholding allowances is 2, the amount of income tax withheld is, with entries 44, 47, 50, 53, 56, 59, 62. Column 6 is labeled And the number of withholding allowances is 3, the amount of income tax withheld is, with entries 26, 28, 31, 34, 37, 40, 43. Column 7 is labeled And the number of withholding allowances is 4, the amount of income tax withheld is, with entries 14, 16, 18, 20, 22, 24, 26. Column 8 is labeled And the number of withholding allowances is 5, the amount of income tax withheld is, with entries 1, 3, 5, 7, 9, 11, 13. Column 9 is labeled And the number of withholding allowances is 6, the amount of income tax withheld is, with entries 0, 0, 0, 0, 0, 0, 1.
Consider cases where the number of withholding allowances is less than 6. Which will cause the amount of federal income tax withheld to increase?
a.
Gross pay stays the same and withholding allowances increase.
b.
Gross pay increases by more than $20 and withholding allowances stay the same.
c.
Gross pay increases by more than $20 and withholding allowances increase.
d.
Gross pay decreases by more than $20 and withholding allowances stay the same.

Answers

Using percentages, we can determine that the Luce family pays $16.34 in state tax because there are no federal withholding exemptions.

What is the Percentage?

A percentage is a relative figure that has the ability to represent 1/100th of any quantity.

Since 1% denotes one percent, 100 percent and 200 percent indicate the full amount and double the quantity, respectively.

By multiplying by 100 and inserting the "percentage sign"%, a ratio and fraction can be transformed into a percentage.

So, Luce is single and makes $763 twice weekly.

She does not request any compensation from federal withholding.

The value of this amount ranges from $760 to $780.

If we look at the table in the issue, the federal tax for this slab is $86.

Federal taxes now make up 19% of all state taxes.

Hence, the $86 in federal tax at a rate of 19% is:

Tax = 86 * 19/100

Tax = 16.34

Therefore, using percentages, we can determine that the Luce family pays $16.34 in state tax because there are no federal withholding exemptions.

Know more about Percentages here:

brainly.com/question/9553743

#SPJ1

Correct question:

Use the tax table to help answer the following question.

A 9-column table with 7 rows is shown. Column 1 is labeled If the wages are at least with entries 720, 740, 760, 780, 800, 820, 840. Column 2 is labeled But less than with entries 740, 760, 780, 800, 820, 840, 860. Column 3 is labeled And the number of withholding allowances is 0, the amount of income tax withheld is, with entries 80, 83, 86, 89, 92, 95, 98. Column 4 is labeled And the number of withholding allowances is 1, the amount of income tax withheld is, with entries 62, 65, 68, 71, 74, 77, 80. Column 5 is labeled And the number of withholding allowances is 2, the amount of income tax withheld is, with entries 44, 47, 50, 53, 56, 59, 62. Column 6 is labeled And the number of withholding allowances is 3, the amount of income tax withheld is, with entries 26, 28, 31, 34, 37, 40, 43. Column 7 is labeled And the number of withholding allowances is 4, the amount of income tax withheld is, with entries 14, 16, 18, 20, 22, 24, 26. Column 8 is labeled And the number of withholding allowances is 5, the amount of income tax withheld is, with entries 1, 3, 5, 7, 9, 11, 13. Column 9 is labeled And the number of withholding allowances is 6, the amount of income tax withheld is, with entries 0, 0, 0, 0, 0, 0, 1.

Luce is single and makes $763 biweekly. She claims no federal withholding allowances. If the state tax is 19% of the federal tax, how much in state tax does Luce contribute?

a. $12.92

b. $15.13

c. $15.77

d. $16.34

you are dealt a hand of three cards, one at a time. find the probability that your cards are all face cards.

Answers

The probability that your cards are all face cards are,

The first club you get is the third card dealt P = 0.145Your cards are all black [tex]P_{all are black}[/tex] = 0.116You get no hearts [tex]P_{no heart}[/tex] = 0.413You have at least one red card [tex]P_{at least one red}[/tex] = 0.884

We know that Total number of cars is 52 .

26 red and 26 is black.

13 are hearts ,

13 are diamonds,

13 are clubs,

13 are spades.

(​a) The first club you get is the third card dealt,

Probability P (first club get is the third card dealt) = P(Non-club x Non club x club)

So,

P = [tex]\frac{39}{52} * \frac{38}{51} * \frac{13}{50}[/tex]

P = 0.145

(b) Your cards are all black,

[tex]P_{all are black}[/tex] = [tex]\frac{26}{52} *\frac{25}{51} *\frac{24}{50}[/tex]

[tex]P_{all are black}[/tex] = 0.116

(c) You get no hearts,

[tex]P_{no heart}[/tex] = [tex]\frac{39}{52} *\frac{38}{51} *\frac{37}{50}[/tex]

[tex]P_{no heart}[/tex] = 0.413

(d) You have at least one red card,

[tex]P_{at least one red}[/tex] = 1 - [tex]P_{no red}[/tex]

[tex]P_{no red}[/tex] = [tex]\frac{26}{52} *\frac{25}{51} *\frac{24}{50}[/tex]

[tex]P_{no red}[/tex] = 0.116

[tex]P_{at least one red}[/tex] = 1 - 0.116

[tex]P_{at least one red}[/tex] = 0.884

Therefore,

The probability that your cards are all face cards are,

The first club you get is the third card dealt P = 0.145Your cards are all black [tex]P_{all are black}[/tex] = 0.116You get no hearts [tex]P_{no heart}[/tex] = 0.413You have at least one red card [tex]P_{at least one red}[/tex] = 0.884

To learn more about Probability visit :

brainly.com/question/12995031

#SPJ4

Simplify −2r(−16r + 3r − 18).

Answers

Answer: 26r^2 + 36r

Step-by-step explanation:

−2r(−16r + 3r − 18)

32r^2 - 6r^2 + 36r

26r^2 + 36r

Answer:

26[tex]r^2[/tex] + 36r

Step-by-step explanation:

Combine like terms:

-2r(-13r - 18)

Use the distributive property:

-2r(-13r) + (-2r)(- 18)

26[tex]r^2[/tex] + 36r

Type the correct answer in each box. Use numerals instead of words. If necessary, round to the nearest hundredth.

The relationship between the values of two different currencies is modeled by a linear function that varies depending on the current value of each currency. The table shows the relationship between an amount in U.S. dollars, x, and the equivalent amount in euros, f(x), where f(x) = x/1.06.

Answers

The inverse function is given by f⁻¹(x) = 1.06x.  2 euros is equivalent to 2.12 U.S. dollars. 4 euros is equivalent to 4.24 U.S. dollars

How to find the inverse function?

Given that: the two different currencies is modeled by a linear function f(x) = x/1.06

where, x = an amount in U.S. dollars and f(x) = the equivalent amount in euros

To find the inverse function f⁻¹(x). Let y = f(x):

y = x/1.06

x = 1.06y

Since x = f⁻¹(y) = 1.06y

Thus, f⁻¹(x) = 1.06x

Note: f⁻¹(x) will help you convert from euros to dollar

2 euros to dollars will be:

f⁻¹(x) = 1.06x

f⁻¹(2) = 1.06(2) = 2.12

Thus, 2 euros is equivalent to 2.12 U.S. dollars

4 euros to dollars will be:

f⁻¹(x) = 1.06x

f⁻¹(4) = 1.06(4) = 4.24

Thus, 4 euros is equivalent to 4.24U.S. dollars

Learn more about inverse functions on:

https://brainly.com/question/3831584

#SPJ1

find an equation for a line perpendicular to y=2x-3, passing through the origin.

Answers

y=1/2x-3 that’s your answer
Step-by-step explanation: The equation of a line that is perpendicular to the line y = 2x + 3 is y=−12x+b y = − 1 2 x + b , where b can be any real number. In mathematics, the slope-intercept form of a line is y = mx + b, where m is the slope of the line, and b is the y-intercept of the line.

a paired samples test for the difference between two means can be used for segmentation purposes. true false

Answers

The statement "a paired samples test for the difference between two means can be used for segmentation purposes " is true

The given statement is

"A paired samples test for the difference between two means can be used for segmentation purposes"

The segmentation is the process of dividing the similar characteristics objects and group them together.

Here the a paired sample test for the difference between two mean is used for the segmentation process. It can be used for the segmentation purpose because A paired samples test for the difference between two means are  samples in which natural or matched couplings occur

Therefore, the give statement is true

Learn more about paired samples here

brainly.com/question/17143411

#SPJ4

it has been estimated that about 30% of frozen chickens are contaminated with enough salmonella bacteria to cause illness if improperly cooked. chickens are delivered to grocery stores in crates of 24. assume the chickens are chosen for inclusion in a crate at random. what is the probability that a randomly selected crate has more than 4 contaminated chickens?

Answers

Using the binomial distribution, it is found that there is a 0.1111 = 11.11% probability that a certain crate has more than 4 contaminated chickens.

For each chicken, there are only two possible outcomes, either they are contaminated, or they are not. The chickens are independently selected, hence, the binomial distribution is used.

What is the binomial probability distribution formula?

The formula is:

P(X=x) = Cₙ,ₓ.pˣ.(1-p)ⁿ⁻ˣ

Cₙ,ₓ = n!/x!(n-x)!

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

About 30% of frozen chickens are contaminated, hence p=0.3.

Chickens are delivered to grocery stores in crates of 24, hence n=24

The probability that a certain crate has more than 4 contaminated chickens is:

P(X>4)=1-P(X≤4)

In which:

P(X≤4) = (P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)

Then

P(X=x) =  Cₙ,ₓ.pˣ.(1-p)ⁿ⁻ˣ

P(X=0) = C₂₄,₀.(0.3)⁰.(0.7)²⁴ = 0.0002

P(X=1) = C₂₄,₁.(0.3)¹.(0.7)²³ = 0.0020

P(X=2) = C₂₄,₂.(0.3)².(0.7)²² = 0.0097

P(X=3) = C₂₄,₃.(0.3)³.(0.7)²¹ = 0.0305

P(X=4) = C₂₄,₄.(0.3)⁴.(0.7)²° = 0.0687

Hence

P(X≤4) = (P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)

= 0.0002+0.0020+0.0097+0.0305+0.0687

= 0.1111

0.1111 = 11.11% probability that a certain crate has more than 4 contaminated chickens.

You can learn more about the binomial distribution at brainly.com/question/24863377

#SPJ4

How much money is pictured below?

Answers

Answer:

$1

Step-by-step explanation:

1 quarter: 25 cents

3 nickels: 15 cents

6 dimes: 60 cents

25+15+60= 100 cents, and 100 cents make up exactly 1 dollar.

The height, h, in feet of a piece of cloth tied to a waterwheel in relation to sea level as a function of time, t, in seconds can be modeled by the equation h = 15 cosine (startfraction pi over 20 endfraction t). How long does it take for the waterwheel to complete one turn?.

Answers

The waterwheel takes 40 seconds to make one turn.

To find the period of the function, we need to find the time it takes for the function to repeat itself. In this case, we want to find the time it takes for the waterwheel to complete one turn.

The function h = 15 cos (π/20) t models the height of the cloth in relation to sea level as a function of time.

The cosine function has a period of 2π, so the period of the function h = 15 cos (π/20) t will be 2π divided by (π/20) which simplifies to 40 seconds.

Therefore, it takes 40 seconds for the waterwheel to complete one turn.

Learn more about Trigonometric functions here:

brainly.com/question/6904750

#SPJ1

Solve for the shaded region

Answers

The Area of the Shaded Region is 184.61 sq. mm

What is Area?

The quantity area indicates the extent of a region on a planar or curved surface. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina.

Solution:

Area of the Shaded Region = Area of Rectangle - 2 * Area of Circles

Area of Recatangle = Length * Breadth = 21 * 13 = 273 sq. mm

2 * Area of Circle = 2* πr² = 2 * 22/7 * 7.5/2 * 7.5/2

= 88.39 sq. mm  

Area of the Shaded Region = 273 - 88.39 = 184.61 sq. mm

To learn more about Area from the given link

https://brainly.com/question/25292087

#SPJ1

can someone explain what algebra is please


Answers

Answer: Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions. In algebra, we use numbers like 2, −7, 0.068 etc., which have a definite or fixed value. In algebra we use variables like x, y, and z along with numbers.

22. In the diagram of trapezoid ABCD below, AB || DC, AD = BC, mA = 4x+20, and m/C= 3x - 15. What is m 1) 25
2) 35
3) 60
4) 90

Answers

Hello,

I hope you and your family are doing well!

Since AB || DC and AD = BC, trapezoid ABCD is a parallelogram, which means that its opposite sides are parallel and congruent. Therefore, angle A is congruent to angle C and angle B is congruent to angle D.

Since mA = 4x+20 and m/C= 3x - 15, we know that mA + mC = 4x+20 + 3x - 15 = 7x + 5.

Since angles A and C are congruent, we can set their measures equal to each other:

mA = mC

4x+20 = 3x - 15

Solving this equation for x gives us x = 5. Substituting this value back into the equation mA + mC = 7x + 5 gives us:

mA + mC = 7 * 5 + 5 = 35

The answer is 35 (Option 2)

Please give this answer 5 stars and brainliest if you find it helpful.

Happy Holidays & New Year!

The solution is, the value of m is is 35 (Option 2).

What is parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

hee, we have,

Since AB || DC and AD = BC, trapezoid ABCD is a parallelogram, which means that its opposite sides are parallel and congruent. Therefore, angle A is congruent to angle C and angle B is congruent to angle D.

Since mA = 4x+20 and m/C= 3x - 15, we know that mA + mC = 4x+20 + 3x - 15 = 7x + 5.

Since angles A and C are congruent, we can set their measures equal to each other:

mA = mC

4x+20 = 3x - 15

Solving this equation for x gives us x = 5.

Substituting this value back into the equation mA + mC = 7x + 5 gives us:

mA + mC = 7 * 5 + 5 = 35

The answer is 35 (Option 2)

To learn more on parallelogram click:

brainly.com/question/6166074

#SPJ2

Write the equation of the line that passes through the points (-7,7)(−7,7) and (-2,-6)(−2,−6).

Answers

The equation of the line y = - (13 / 5) · x - 56 / 5 passes through the points (x₁, y₁) = (- 7, 7) and (x₂, y₂) = (- 2, - 6).

What is the equation of a line that passes through two points?

In this question we must derive the equation for a line that passes through two points on Cartesian plane. This can be done by means of the following two formulas:

Secant line formula

m = Δy / Δx

Equation of the line in slope-intercept form

y = m · x + b

Where:

Δx - Change in the independent variable.Δy - Change in the dependent variable.m - Slope of the lineb - Intercept of the line

First, write the given points:

(x₁, y₁) = (- 7, 7), (x₂, y₂) = (- 2, - 6)

Second, determine the slope of the line:

m = (- 6 - 7) / [- 2 - (- 7)]

m = - 13 / 5

Third, calculate the intercept of the equation of the line:

b = y - m · x

b = - 6 - (- 13 / 5) · (- 2)

b = - 6 - 26 / 5

b = - 30 / 5 - 26 / 5

b = - 56 / 5

Fourth, write the resulting equation of the line:

y = - (13 / 5) · x - 56 / 5

To learn more on equations of the line: https://brainly.com/question/2564656

#SPJ1

Domain:1,2,3,4,5 range:68,71,74,77,80 what is a reasonable domain for this

Answers

The reasonable domain for the range: 68,71,74,77,80 is { 1,2,3,4,5 } .

What are domain and range of a function ?

The range of values that we are permitted to enter into our function is known as the domain of a function. In a function like f, this set represents the x values (x). The collection of values that a function can take on is known as its range. The values that the function outputs when we enter an x value are in this set.

The collection of all feasible independent variable values is known as the mathematical domain. The set of all independent variable values that are conceivable yet make sense in the context at hand is known as the reasonable domain.  

Given:

range: 68,71,74,77,80

Domain:1,2,3,4,5

Here, the situation is not given.

So, the reasonable domain is { 1,2,3,4,5 }

Learn more about the domain and range at:

brainly.com/question/28801359

#SPJ1

Elevation (meters) -2 , 2 , -4 which is higher ???

Answers

Answer:

2

Step-by-step explanation:

-2 and -4 are less than 0

2 is greater than

If you write down in descending order ===> 2, -2 , -4

Write the expression as a number in scientific notation.

the quantity 3.6 times ten to the fifth power end quantity times the quantity 1.5 times ten to the negative eighth power end quantity all divided by the quantity 2.5 times ten to the negative fourth power end quantity

2.6 × 107
2.16 × 101
2.16 × 10−1
2.6 × 10−7

Answers

The expression is written as a number in scientific notation as 2.16 × 10^1. Option B

What is scientific notation?

Scientific notation can be described as a form of expressing or representing  large numbers or very small numbers in a more simpler form.

It is also called index form or standard form.

From the information given, we have;

3.6 times ten to the fifth power = 3. 6 × 10^51.5 times ten to the negative eighth power = 1. 5 × 10^82.5 times ten to the negative fourth power = 2. 5 × 10^4

Now, let's substitute the values

3. 6 × 10^5 ×  1. 5 × 10^8/2. 5 × 10^4

Multiply the decimals and add the powers

5. 4 × 10^5/2. 5 × 10^4

Divide the values and subtract the powers, we get

2. 16 × 10^5-4

2. 16 × 10^1

Hence, the value is 2. 16 × 10^1

Learn more about scientific notation here:

https://brainly.com/question/1767229

#SPJ1

Answer:

The expression is written as a number in scientific notation as 2.16 × 10^1. Option B

Step-by-step explanation:

can someone help me i will give brainlest

Answers

Answer:

code : fasmej ??

Step-by-step explanation:

1. F

2. A

3. S

4. M

5. E

6.J

Help me with this question please !!

Answers

Answer:

∠1 = 33°∠2 = 47°

Step-by-step explanation:

You want to know the measure of angle 1 given that angle 2 is 14° more and their total is 80°.

Angle sum theorem

The angle sum theorem tells you the whole is equal to the sum of the parts.

  ∠1 +∠2 = ∠ABD

Using the given values, we have ...

  ∠1 +(∠1 +14°) = 80°

  2×∠1 = 66° . . . . . . . . . subtract 14°

  ∠1 = 33° . . . . . . . . divide by 2

  ∠2 = 33° +14°

  ∠2 = 47°

Billy pulled a number of colored marbles from a large bag. green 1 orange 4 red 1 yellow 9 white 3 Based on experimental probability, how many of the next 20 marbles selected should you expect to be yellow marbles?

Answers

The likelihood that the next 20 marbles picked will be yellow marbles is 9/20.

What is probability?

Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty. A probability is a number that represents the possibility or chance that a specific event will occur. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.

Here,

The probability that of the next 20 marbles selected it is expect to be yellow marbles,

=9/20

The probability that of the next 20 marbles selected it is expect to be yellow marbles will be 9/20.

To know more about probability,

https://brainly.com/question/11234923

#SPJ1

Answer:

the answer is 10

Step-by-step explanation:

ixl says its ten

13. If f(x)=x² + 3x-2, find f(-2).

Answers

By using the substitution property, the value of f(-2) is -4.

What is the substitution property of equality?

In an expression or equation, one value can be substituted for another and the result will still be the same. This is known as the substitution property of equality. If the values of x and y are the same, then x and y can be substituted for one another.

Given, f(x) = x² + 3x - 2

To find the value of f(-2), apply substitution property

f(-2) = (-2)² + 3(-2) - 2 = 4 - 6 - 2 = -2-2 = -4

Hence, the value of f(-2) is -4.

To learn more about the substitution property of equality

https://brainly.com/question/29058226

#SPJ1

Which of the following is the solution to the following system of inequalities?
x+2y<=4
3x-y>=2
See the picture for the graphs. Any help is appreciated!! This is honors algebra 2 on Apex learning.

Answers

Answer: B.

Step-by-step explanation:

x+2y≤4

3x-y≥2

You are planning a trip to an amusement park with a new water slide. It costs $25
for admittance to the park, plus $5 each time you ride the new water slide. Let w
represent the number of times you go down the slide and c represent the total cost
in dollars.
Write the amount that you will spend as a function of the number of times you
ride the new water slide. What is the total cost if you go down the slide 6 times?

Answers

Answer

55

Step-by-step explanation:

5w+25= c

5(6)+25=55

a teacher has a grading policy for a group assignment such that each team can earn up to 100 points, which will then be divided between four team members based on the quality of each team member's contribution to the group. this situation would be what type of game for team members?

Answers

This situation would be known as a positive-sum game for team members.

In game theory, a scenario is said to as a positive-sum game if the sum of the profits and losses is more than zero. When resources are somehow expanded and a strategy is developed that satisfies the wants and requirements of everyone involved, a positive sum results. One instance would be when two parties engage in a competition and, regardless of the outcome, both sides stand to profit financially. In situations of distributive bargaining, where various interests are discussed in order to satisfy everyone's wants, positive-sum outcomes take place.

To know more about the positive-sum game visit: brainly.com/question/17193371

#SPJ4

Grace has 2 quartera . Jen have 4 dimesss were ans 1 nickels. Keesha has 3 dimes and 3 nickels. Terry has 1 quarters , 1 dime who has the most money

Answers

Answer: grace has the most money

Step-by-step explanation:

Because

Grace has 2 quarters = 50 cents

Jen has 4 dimes and 1 nickel = 45 cents

Keesha has 3 dimes and 3 nickels = 33 cents

Terry has 1 quarter and 1 dime = 26 cents

so as you can see grace has the most money

Find the minimum value of the function f ( x ) = x 2 + 8 x + 9.6 f(x)=x 2 +8x+9.6 to the nearest hundredth.

Answers

The maximum and minimum values of the given function will be equal to -1.47 and -6.52.

What is the quadratic equation?

The 2nd equation in x is known as a quadratic function. ax² + bx + c = 0 is the quadratic equation in standard form, wherein there a and b are the coefficient, x is the constant, and c is the constant.

As per the equation given in the question,

f(x) = x² + 8x + 9.6

D = b² - 4ac

= 8² - 4(1)(9.6)

D = 25.6

Now, find the roots,

-(b ± √D)/2a

-(8 ± 5.05)/2

So, the roots are,

-(8 + 5.05)/2 = -1.47,  (x + 1.47)

-(8 - 5.05)/2 = -6.52,  (x + 6.52)

To know more about Quadratic equations:

https://brainly.com/question/17177510

#SPJ1

what is the perimeter of a square with a diagonal of 10 centimeters? round to the nearest whole number.

Answers

Answer:

P≈28.28cm  = 28 cm

Step-by-step explanation:

Using the formulas

P=4a

d=√2a

Solving forP

P=2 √2d=2·√2·10≈28.28427cm

ERADES
4
Declan is training to take part in a 10 km race.
He runs the same distance every day for 30 days. A
For the first 20 days, his mean running time was 56.2 minutes.
His mean running time for all 30 days was 54.4 minutes.
Work out Declan's mean running time for the last 10 days of his training.
unning time for first 20

Answers

Answer: 54.5

Step-by-step explanation: 54.5

a box of a dozen donuts contains 5 glazed, 3 blueberry, and 4 chocolate donuts. what is the probability that you randomly choose a chocolate donut from the box? state your answer as a reduced fraction.

Answers

A box of a dozen donuts, the probability that you randomly choose a chocolate donut from the box is 1/3 ....

What is Probability?

Probability is the study of occurrence of chance of a particular result. It is calculated by ratio of favourable outcomes and the total possible outcomes.

We have box of a dozen donuts contains,

The number of glazed donuts in box = 5

The number of blueberry donuts in box = 3

The number of chocolate donuts in box = 4

So, the total number of donuts = 12

We have to calculate probability that you randomly choose a chocolate donut from the box, say P(X) .

That is one donut is selected randomly from box.

P(X) = Number of favourable cases/ Total number of possible outcomes

= 4/12 = 1/3

Thus, the required probability is 1/3.

To learn more about Probability, refer:

https://brainly.com/question/13604758

#SPJ4

PLEASEE 80 POINTS FOR THE ANSWERR Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5) A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5).

Answers

Answer:

śiŕe ťhe śeçondè çolumm y has ťhe èntieŝ 2 2 2 2

Step-by-step explanation:

ĥopè ťis ĥeĺpś

1+1=2

2+2=4

5+5=10

34+35=?

Answers

34+35 is 69

Sum=69


May I have Brainly
Other Questions
the answer to the question a 7.0-g bullet is fired into a 1.5-kg ballistic pendulum. the bullet emerges from the block with a speed of 200 m/s, and the block rises to a maximum height of 12 cm. find the initial speed of the bullet. (please do not include units in your answer) 3 ^ 21 is how many time as great value of 3 ^ 19 Description should give the reader the sense that the writer __________.is showing rather than tellingis both showing and tellingis telling rather than showingneither showing nor telling but rather existing For quartering large bodies of armed troops among us. For cutting off our Trade with all parts of the world. For imposing Taxes on us without our Consent For suspending our own Legislatures, and declaring themselves invested with power to legislate for us in all cases whatsoeverIN WHICH SECTION OF THE DECLARATION OF INDEPENDENCE WOULD YOU FIND THESE STATEMENTS?.ABCPreambleGrievancesDeclarationIntroduction What does it mean to have multiple alleles for a specific trait? Our sense of taste originally was thought to involve only the following foursensationsA) sweet, salty, starch, and bitter.B) salty, fatty, bitter, and sweet.C) sour, bitter, sweet, and starchy.D) bitter, sweet, sour, and salty.E) fruity, fatty, silky, and coarse. 6.) Why are the factory girls home early? Lyddiea.) It is Christmas.b.) The river is too high for the mill wheels to turn.c.) There was a robbery.d.) There is too much mud in the streets. making several trays of her famous lasagna. She finds the mozzarella cheese on sale for $4.89 per pound at her local grocery store. How much will she pay for four pounds of cheese? sabrina duncan had gross earnings for the pay period ending 10/15/20x1 of $5,815. her total gross earnings as of 9/30/20x1 were $104,600. if social security taxes are 6.20% on a maximum earnings threshold of $132,900 per year, sabrina's social security withheld from her 10/15/20x1 paycheck would be: multiple choice $239.07 $224.13 $360.53 $416.81 causes of the second great awakening quizlecompare the use of moral suasion in the abolition- ist and temperance movements. was the temperance movement successful? why or why not? use evi- dence from the article to support your answer. when the world price for a product is below the canadian price, what will canada experience? multiple select question. a domestic shortage more imports more exports a domestic surplus you're selling vegetarian sandwiches for $3 each and turkey sandwiches for $4 each. you sell 25 sandwiches for a total of $85. how many vegetarian and how many turkey sandwiches did you sell Who are the singers of the band Hot Milk? (Its a duo) FILL IN THE BLANKS 13) A student walks 20 m north, 10 m south, and 3 m north. To have a displacement of 0 m,the student should walk _____m toward the _____. Satisfying consumers' immediate needs and desires does not always serve the futurebest interests of either customers or the business.(T/F) Please help ASAP!!After working out at the gym, Jose's left bicep is feeling sore. The soreness is evidence the muscle cell is building new muscle. In order to do this, the muscle cell must follow a specific process beginning with the genetic recipe for new muscle fibers which will end up producing a larger muscle. Based upon your understanding of how a cell produces proteins, identify the proper order of muscle fiber protein production by a muscle cell and it's organelles. Process of producing muscle fibers by making proteins in the muscle.1. The protein is built in the rough endoplasmic reticulum2. The vesicles export protein to build muscle fiber3. The protein is packages in golgi appratus4. DNA recipe insider the nucleus5. Ribosome carries recipe to endoplasmic reticulum = muscle fiber A pool has some initial amount of water in it. Then it starts being filled so the water level rises ata rate of 6 centimeters per minute. After 20 minutes, the water level is 220 centimeters.Graph the relationship between the pool's water level (in centimeters) and time (in inches minutes). In order to qualify for the office manager's job, 55-year-old Mariel must take a series of psychological tests. Her performance on the test of ________ is likely to be poorer than if she had taken it as a 25-year-oldabstract reasoning the collaborating style of conflict resolution is based on a degree of assertiveness and a degree of cooperativeness. a. low; high b. low; medium c. high; low d. high; high e. low; low